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Teresa is maintaining a camp fire. She can keep the fire burning for 4 hours with 6 logs. She wants to know how many logs 
(y) she needs to keep the fire burning for 18 hours. She assumes all logs are the same.
How many logs does Teresa need to maintain the fire for 18 hours?
logs

Teresa is maintaining a camp fire. She can keep the fire burning for 44 hours with 66 logs. She wants to know how many logs (y) (y) she needs to keep the fire burning for 1818 hours. She assumes all logs are the same.\newlineHow many logs does Teresa need to maintain the fire for 1818 hours?\newlinelogs

Full solution

Q. Teresa is maintaining a camp fire. She can keep the fire burning for 44 hours with 66 logs. She wants to know how many logs (y) (y) she needs to keep the fire burning for 1818 hours. She assumes all logs are the same.\newlineHow many logs does Teresa need to maintain the fire for 1818 hours?\newlinelogs
  1. Identify Relationship: Identify the relationship between the number of logs and the hours the fire can burn.\newlineTeresa can keep the fire burning for 44 hours with 66 logs. This means that the fire burns for 44 hours per 66 logs.
  2. Determine Consumption Rate: Determine the rate at which logs are consumed.\newlineTo find out how many logs are consumed per hour, we divide the number of logs by the number of hours.\newlineRate = 6 logs4 hours=1.5 logs per hour.\frac{6 \text{ logs}}{4 \text{ hours}} = 1.5 \text{ logs per hour}.
  3. Calculate Logs Needed: Calculate the number of logs needed for 1818 hours.\newlineNow that we know the rate is 1.51.5 logs per hour, we can multiply this rate by the desired number of hours to maintain the fire.\newlineNumber of logs needed = 1.51.5 logs/hour * 1818 hours = 2727 logs.

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